Question

find the area.
area of □ = ? in²
area of □ = □ in²
remember: a□ = s²
area of figure = □ in²

Explanation:

Step1: Calculate the area of the square

The formula for the area of a square is $A = s^{2}$, where $s = 4$ in.
$A_{square}=4^{2}=16$ in$^{2}$

Step2: Calculate the dimensions of the rectangle

The width of the rectangle is $2$ in. The height of the rectangle: since the total height is $7$ in and the square has a side - length of $4$ in, the height of the rectangle $h=7 - 4=3$ in. But wait, no! Wait, actually, the rectangle has length $l = 7$ in and width $w=2$ in (using the formula for the area of a rectangle $A = l\times w$).
$A_{rectangle}=2\times7 = 14$ in$^{2}$

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the square and the area of the rectangle.
$A_{total}=A_{square}+A_{rectangle}=16 + 14=30$ in$^{2}$

Answer:

Area of $\square$ (square) $= 16$ in$^{2}$
Area of $\square$ (rectangle) $= 14$ in$^{2}$
Area of Figure $= 30$ in$^{2}$